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sloppycanada
 one year ago
Find f(g(x)) if f(x) = 2x + 1 and g(x) = x2  1.
sloppycanada
 one year ago
Find f(g(x)) if f(x) = 2x + 1 and g(x) = x2  1.

This Question is Closed

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2Wherever you see an x in your function for f(x) replace it with the function of g(x). \[f(g(x)) = 2(x^22)+1\]

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1\[2x^23\] @Jhannybean

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1but that's not one of my choices.

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2What are your answer choices?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok \[f(g(x))= 2(x ^{2}1)+1\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(g(x))=2x ^{2}2+1\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02(x^21)+1 = 2x^2 2 + 1 = 2x^2  1

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2Oh, I made a typo there.

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2The \(x^22\) should have been \(x^21\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(g(x))= 2x ^{2}1\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2No harm in correcting me :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(g(x)) = 2(g(x)) +1 = 2(x^21)+1

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1So this one  Find g(f(x)) if f(x) = 2x  3 and g(x) = x  1.

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1Should be  \[2x^2 + x 3\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0g)x)1 = (2x3)1 = 2x4

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1Find f(g(x)) if f(x) = 2x + 1 and g(x) = x2  1. My answer options are  2x 1 \[2x^21\] \[2x^2 + 1\] \[2x^31\]

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1So if it's f(g(x)), shouldn't it be something along the lines of  (x^2  1)(2x+1)?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2We've done this one.

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1It's just 2x 1 ?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2You're not multiplying anything actually, you're just substituting the function of g(x).

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1Wait what? I am very confused.

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2\[f(g(x))= f(x^21) = 2(x^21)+1 = 2x^22+1 =2x^21\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2Do you see it now, @sloppycanada ?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2which part is confusing you?

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1Where the "x" in 2x1 went.

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2It was replaced by g(x)

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1Okay, so in this  Find g(f(x)) if f(x) = 2x  3 and g(x) = x  1. It'd just be 1(2x 3)  1?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2Not quite, \[g(f(x)) = g(2x3)= (2x3)1 = 2x4\]

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1Okay so again  Find (f – g)(x) if f(x) = 2x – 6 and g(x) = 3x + 8. (2x 6)  (3x+ 8) = x +2?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2Somewhat, but a small math error. \[(fg)(x) = f(x)  g(x) = (2x6)(3x+8) = x(8+6) = x14\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2You've got the idea though :D

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1Find (f + g)(x) if f(x) = 1/2x + 4 and g(x) = x  3. (1/2x +4) + (x3) = 1/2 + 1

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1Find the zeros of 4x + 6
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